Question

The normal blood glucose level is between 70 mg/dL and 130 mg/dL. Write a compound inequality to represent the values at which blood glucose is not normal.

Answer 1

Let the input be x

• x is greater than or equal to 70mg/dl.
• x is less than or equal to 130mg/dl.

`\\ \rm\Rrightarrow x\geqslant 70mg/dl`

`\\ \rm\Rrightarrow x\leqslant 130mg/dl`

Now

`\\ \rm\Rrightarrow 70mg/dl\leqslant x\leqslant 130mg/dl`

Or

`\\ \rm\Rrightarrow 130mg/dl\geqslant x\geqslant 70mg/dl`

Answer 2

70 ≤ x ≤ 130

130 ≥ x ≥ 70

Explanation:

We know that a persons glucose level can only be equal to or between 70 and 130 mg/dL. We can create an inequality to represent this;

70 < x < 130

This means that anything in between will work but anything less or more will not. You can also write this inequality as 130 > x > 70.

In word form you would say this:

1. A humans glucose level can only be more than or equal to 70 and less than or equal to 130.

Best of Luck!